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1 year ago

let f be the function defined above, where c and d are constants. if f is differentiable at x = 2 what is the value of c + d?

SAT

1 answer:

emmasim [6.3K]1 year ago

5 0

Answer: The values for the constants are c=2, and d=-4.

explanation: We have the function f, defined as:

and

where c and d are constants.

So, if f is differentiable at x=2, then it must be continuos at x=2, therefore

Let's call this, equation 1.

On the other hand, we have that f is differentiable, therefore

and

so, we calculate

which, replacing in equation 1, gives us

Finally, the answer is that c=2, and d=-4.

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The target heart rate of the 45 year old client with a resting heart rate of 75 bpm is; 135 bpm

Complete question is;

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We are given;

Age of client = 45 years

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<h3>Perpendicular lines</h3>

In order to determine whether triangle lmn is right-angled, we need to determine the slope of lm, ln, and mn first as shown:

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